Answer: x = 138
Step-by-step explanation:
[tex]108+117+x=3 * 121\\3 * 121 = 363\\Rearrange unknown terms to the left side of the equation\\x=(363-108)-117\\\\255-117=138\\x=138[/tex]
If f(a) = 3a – a2, which of the following are not true statements? Select all that apply. f(-5) = -40 f(4) = -4 f(-1) = 2 f(0) = 3 f(3) = 0
Solving the Question
We're given:
[tex]f(a) = 3a - a^2[/tex]Determine f(-5):
[tex]f(a) = 3a - a^2\\f(-5) = 3(-5) - (-5)^2\\f(-5) = -15 - 25\\f(-5) = -40[/tex]
Therefore, this statement is true.
Determine f(4):
[tex]f(a) = 3a - a^2\\f(4) = 3(4) - (4)^2\\f(4) = 12 - 16\\f(4) = -4[/tex]
Therefore, this statement is true as well.
Determine f(-1):
[tex]f(a) = 3a - a^2\\f(-1) = 3(-1) - (-1)^2\\f(-1) = -3 - 1\\f(-1) = -4[/tex]
Therefore, this statement is not true.
Determine f(0):
[tex]f(a) = 3a - a^2\\f(0) = 3(0) - (0)^2\\f(0) = 0 - 0\\f(0)=0[/tex]
Therefore, this statement is also not true.
Answerf(-5) = -40
f(4) = -4
Mary bought a pair of jeans for 30$ and a sweater for 20$. if sales tax is 7% of the total how much did she pay for the jeans sweater and tax altogether
Answer:
53.5
Step-by-step explanation:
7% of 50 is 3.5 and you add it
The graph below shows the ages of the top five male finishers in the Mt. Washington Auto Road Bicycle Hillclimb each year from 2017 through 2021.
1. Write the relation of this situation as a set of ordered pairs in terms of (age, finishing place).
2. Identify the domain and range of the relation.
3. Do the ordered pairs represent a function? Explain.
From the given table, we have that:
1. The relation of the situation is: (20,2), (22.5, 5), (25,4), (27.5, 4), (29,4), (29,5), (30,1), (30,2), (30,3), (30,4), (30,5), (32.5, 1), (32.5, 3), (35,4), (40,2), (42.5, 3).
2. The domain is {20, 22.5, 25, 27.5, 29, 30, 32.5, 35, 40, 42.5} and the range is {1, 2, 3, 4, 5}.
3. There are inputs such as 25, 29, 30 and 32.5 that are mapped to multiple outputs, hence the relation does not represent a function.
What is the relation of this situation?
To build the relation, we look at the graph, and write all pairs of (Age, Finishing Place), as follows:
(20,2), (22.5, 5), (25,4), (27.5, 4), (29,4), (29,5), (30,1), (30,2), (30,3), (30,4), (30,5), (32.5, 1), (32.5, 3), (35,4), (40,2), (42.5, 3).
What are the domain and the range?The domain of a relation is the set that contains all possible input values for the values, that is, the values of x.The range of a relation is the set that contains all possible output values for the values, that is, the values of y.Hence, for the given relation:
The domain is {20, 22.5, 25, 27.5, 29, 30, 32.5, 35, 40, 42.5} and the range is {1, 2, 3, 4, 5}.
When does a relation represents a function?A relation represents a function if each value of the input is mapped to only one value of the output.
For this problem, we have that:
There are inputs such as 25, 29, 30 and 32.5 that are mapped to multiple outputs, hence the relation does not represent a function.
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One half of 96 is equal to 80% of what number?
(A) 35
(B) 60
(C) 76
(D) 84
(E) 90
Hello can someone helpHELLLLLPPPPP PLEASE. Write the ordered pair for each letter on the graph
By critically observing the graph shown above, the set of ordered pairs include the following:
A = (2, 4)B = (-1, 2)C = (-3, -2)D = (2, 0)E = (0, -4)F = (5, -4)What is a graph?A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.
What is an ordered pair?An ordered pair can be defined as a pair of two elements that are typically written in a fixed order within parentheses as (x, y), which represents the x-axis (abscissa) and the y-axis (ordinate) on a coordinate plane.
Note: Let each box/cell in the graph represent 1 unit.
By critically observing the graph shown above, we can logically deduce that the set of ordered pairs include the following:
A = (2, 4)B = (-1, 2)C = (-3, -2)D = (2, 0)E = (0, -4)F = (5, -4)Read more on ordered pairs here: https://brainly.com/question/13432927
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simplify 7(x+1)+-7(-6x+-9)
Answer:
49x=70
Step-by-step explanation:
What is the solution to the following equation?
15+ x = -2
OA. x=17
O B. x = -17
OC. x=13
OD. x=-13
Answer:
x = -17
Step-by-step explanation:
You can plug in answer choices, or you can get x by itself.
I got x by itself because it is faster. Simply subtract 15 from both sides.
So, you would get x = -2 - 15. Keep change change to subtract negative numbers => -2 + -15 which equals to -17.
So x = -17.
You can also plug it in: 15 + -17 does equal -2.
Which describes the function on the graph below
We get that the correct option is option (C) for the graph of the function as it is increasing before x = -2 and from x = 0 to x = 2.
We are given a graph of a function.
A graph of a function is a special case of a relation.
In mathematics, the graph of a function f is the set of ordered pairs, where f(x)=y.
In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y.
Here, we can see that function increases before x = - 2, then it decreases till x = 0, then it again increases from x = 0 to x = 2 and then it again decreases.
Therefore, we get that the correct option is option (C) for the graph of the function as it is increasing before x = -2 and from x = 0 to x = 2.
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Given f(x) = 4x + 5, find f(-3).
Answer:
-7
Step-by-step explanation:
f(x)=4x+5
f(-3)=4x+5
=4(-3)+5
-12+5
f(-3)= -7
The "x" in f(x) is the "x" in the equation
What is 3m - 5 = 19.
Can you please show all your steps please.
Answer:
Step-by-step explanation:
7-5x-10+3x simplified please show steps
How do you rewrite an expression using twelfths
S(-2, 4) and T (3,9).
The midpoint is MC). The distance between S and T is about
We get the distance between the coordinates of the point S and T as 5 √2 units.
We are given the coordinates of two points as:
S = ( - 2, 4 )
T = ( 3, 9 )
We have to find the distance between the points S and T.
We will use the distance formula for this.
Distance = √(x₂ - x₁)² + ( y₂ - y₁)²
Here, we have:
x₁ = -2
x₂ = 3
y₁ = 4
y₂ = 9
Substituting the values in the formula, we get that:
Distance = √(3 + 2)² + ( 9 - 4)² units
Distance = √(5)² + ( 5)² units
Distance = √25 + 25 units
Distance = √50 units
Distance = 5 √2 units
Therefore, we get the distance between the coordinates of the point S and T as 5 √2 units.
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enedos bns viimstolquoHSAT or
4. Mr. Farley used 4 pounds of hamburger to
make 10 hamburger patties of the same size.
How many pounds of hamburger did he use
per patty?
Mr. Farley used 0.4 pounds of hamburger per patty.
The unitary method is a technique used to find the solution by first finding the value of a single unit and then multiplying the value to get the required answer.
Here, we are given that Mr. Farley used 4 pounds of hamburger to
make 10 hamburger patties.
Given that all of these patties are of the same size, an equal amount of hamburger will be used to make each patty.
We have,
For 10 patties, we need ⇒ 4 pounds of hamburger.
Therefore, for 1 patty we will need ⇒ 4/10 pounds
= 0.4 pounds
Thus, Mr. Farley used 0.4 pounds of hamburger per patty.
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1.268 multiplied by 100
Question 9
The table shows the ingredients needed to make one batch of homemade slime.
Ingredient
Amount (fl oz)
Glue
Liquid Starch
Water
4
Dodi has 2 cups of liquid starch and will use the entire amount. She plans to store the slime in containers that each hold a maximum of 6 fluid
ounces. How many containers will she need? Write an argument to defend your solution. (Hint: 2 cups = 16 fluid ounces)
Dodi will need
containers.
Dodi has
fluid ounces, of liquid starch, so she will make
batches of slime. Each batch makes 4 x 3, or 12 fluid ounces, so she will make a total of
containers to hold all of the slime.
will need
4
4
+4, or
fluid ounces of slime
It is given that Dodi has two cups of liquid starch
2 cups =16 fluid ounces
1 container can hold 6 fluid ounces
We are required to find that how many containers are required
1 container contains 6 ounces
Hence 16 ounces will be contained in 3 containers
Hence Dodi will required 3 containers.
Disclaimer:
The question is incomplete and jumbled
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given h(x) = 4x + 3, find h(4)
Answer:
19
Step-by-step explanation:
Formula
h(x) = 4x + 3
Givens
x = 4
Comment
h(x) is the same thing as y. So the equation can be written as y = 4x + 3
Now it is a simple matter of solving 4x + 3 given that x = 4.
Solution
f(4) = 4*4 + 3 Combine
f(4) = 16 + 3 Add
Answer
f(4) = 19
I rly need help
-11+9(-7+3)
Answer:
6
Step-by-step explanation:
-7 + 3 = -4
-11 + 9 = -2
-4 + -2 = 6
CAN SOMEONE EXPLAIN TO ME HOW TO SOLVE 8^15÷8^7×8
So, we are to solve: [tex] {8}^{15} \div {8}^{7} \times 8[/tex]
Using the exponential rule of multiplication and division with the same bases, which are:
[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex]
and:
[tex] {a}^{m} \div {a}^{n} = {a}^{m - n} [/tex]
Therefore:
[tex] {8}^{15} \div {8}^{7} \times {8}^{1} = {8}^{15 - 7 + 1} [/tex]
→[tex] {8}^{9} = 134217728[/tex]
Therefore: 134217728 is the final answer
I hope this helps.How do I solve this??
Answer: 144
Step-by-step explanation:
Product =(12^-5)*(12^7) = 144
AFter solving equation what does "interpret the quotient of the two fractions" mean?
Answer:
It literally means either find out what the fractions divided by each other would be or find the answer to the fraction.
Ex: 5/10 divided by 1/2= 1
Ex: 5/10 is equal to 0.5
Step-by-step explanation:
Answer: means either find out what the fractions divided by each other would be or find the answer to the fraction.
Step-by-step explanation:
Determine whether the lines are parallel, perpendicular, or neither . Y=20x+9, y=6x-4
Answer:57368
Step-by-step explanation:
put all them on top like this 573 you can do this 68
Write a compound inequality: a quantity of x is greater than 10 and less than 20
The compound inequality is: x<20 and x>10
Given, a quantity of x is greater than 10 and less than 20.
A compound inequality (also known as a compounded inequality) is created when two or more inequalities are coupled with and. One part of an inequality must be true for a value to be a solution to an or inequality. It must make both parts true in order to be the solution to an inequality. X<3 or X>2, for instance.
Divide a compound inequality into two independent ones before attempting to solve it. Choose either a union of sets ("or") and an intersection of sets as the appropriate response ("and"). Then, resolve the graph and all inequalities.
Simply put, a compound inequality is more than one inequality that we want to address simultaneously. When referring to the resolution of both inequalities, we can either use the term "and" or "or."
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will give brainliest need quickly though
Answer:
just use the calculator
Step-by-step explanation:
4 + 10(5 − 3) ÷ 4 + 6²
Answer:
45
Step-by-step explanation:
=4+10×2÷4+36
=4+5+36
=45
*Lets see who will get brainiest*
A quadrilateral in the third quadrant is rotated 90° clockwise about the origin. Which quadrant will the transformed quadrilateral be in?
A.
first quadrant
B.
second quadrant
C.
third quadrant
D.
fourth quadrant
Answer:
B
Step-by-step explanation:
Since the quadilateral rotated 90° from the third quadrant it then lands back on the second quadrant.
Tacoma's population in 2000 was about 200 thousand, and has been growing by about 9% each year. If this continues, what will Tacoma's population be in 2017?
_____ thousand people
The population of Tacoma in 2017 would be 865,527.
What will be the population in 2017?If the population grows by 9% every year, the population would grow at a compound rate each year and the equation that can be used to determine the population in 2017 would be an exponential equation.
Compound growth is when both the existing population and the increase in population every year.
The equation that can be used to determine the population of Tacoma in 2017 is:
The formula for calculating future value:
FV = P (1 + r)^n
Where:
FV = Future value P = Present populationR = rate of growthN = number of years : 2017 - 2000 = 17200,000 x (1 + 0.09)^17
200,000 x (1.09^17) = 865,526.68
In order to round 865,526.68 to the nearest whole number , look at the tenth figure, if it is greater or equal to 5, add one to the units digit and change the tenth and hundredth digit to 0. So, 865,526.68 becomes 865,527.
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r squared minus 15 = t + 19
The given equation r² - 15 = t + 19 is the equation of a parabola with vertex at (h, k) = (0, -34) and focal length |p| = 1/4.
I assume that the question is to describe or graph the equation r² - 15 = t + 19.
The given equation r² - 15 = t + 19 is the equation of a parabola with vertex at (h, k) = (0, -34) and focal length |p| = 1/4.
4p(y - k) = (x - h)² is the common equation for a parabola that faces up and down and has a vertex at (h, k) and a focal length of |p|.
Let us re-write the given equation in the standard form.
r² - 15 = t + 19
⇒ r² = t + 19 + 15
⇒ r² = t + 34
⇒ (r - 0)² = t + 34 (r can be written as r - 0)
⇒ (r - 0)² = t - (-34) (+34 is written as -(-34))
⇒ (r - 0)² = 4 × 1/4 × (t - (-34))
(4 × 1/4 is equal to 1. The given equation is unaffected by a multiplication by 1.)
⇒ 4 × 1/4 × (t - (-34)) = (r - 0)² this equation is in the standard form. And here we have |p| = 1/4 and (h, k) = (0, -34).
Refer to the attached image for the graph of this equation.
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9.
4
Rena is building a model of a castle using a scale of 1inch = 60 yards. Her model has a rectangular base that is 3 inches wide and 4 inches long.
What is the area of the actual base of the castle in square yards?
The area of the actual base of the castle in square yards is 43200 yards².
How to calculate the area?From the information, Rena is building a model of a castle using a scale of 1inch = 60 yards. Her model has a rectangular base that is 3 inches wide and 4 inches long.
The normal width will be:
= 60 × 3 = 180
The length will be:
= 4 × 60 = 240
Therefore, the area will be:
= Length × Width
= 240 × 180
= 43200 yards²
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Find C that is 1/5 the distance from A(4, 2) to B(8, 7).
The coordinate of C that is 1/5 the distance from A(4, 2) to B(8, 7) is C(x,y) = {(44/6, (37/6)}
Midpoint of a lineThe formula for calculating the point on a line divided into ratio a:b is expressed as;
C(x,y) = {(ax₁+bx₂)/2, (ay₁+by₂)/2}
Given the following coordinate points A(4, 2) to B(8, 7) divided in the ratio 1:5 is expressed as:
C(x,y) = {(1(4)+5(8))/1+5, (1(2)+5(7))/1+5}
C(x,y) = {(44/6, (37/6)}
Hence the coordinate of C that is 1/5 the distance from A(4, 2) to B(8, 7) is C(x,y) = {(44/6, (37/6)}
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